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Interpolatory product quadratures for Cauchy principal value integrals with Freud weights

  • We prove convergence results and error estimates for interpolatory product quadrature formulas for Cauchy principal value integrals on the real line with Freud–type weight functions. The formulas are based on polynomial interpolation at the zeros of orthogonal polynomials associated with the weight function under consideration. As a by–product, we obtain new bounds for the derivative of the functions of the second kind for these weight functions.

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Metadaten
Author:Kai Diethelm
URN:urn:nbn:de:bvb:863-opus-20583
DOI:https://doi.org/https://doi.org/10.1007/s002110050440
Parent Title (English):Numerische Mathematik
Document Type:Article
Language:English
Year of publication:1999
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2022/07/20
Volume:83
First Page:87
Last Page:105
Comments:
Accepted version des Artikels.
Published source:
Damelin, S., Diethelm, K. Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Numer. Math. 83, 87–105 (1999). https://doi.org/10.1007/s002110050440
Open access colour:Grün (Zweitveröffentlichung)
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